A store offers a \(25\%\) discount on a shirt originally priced at \($32\). What is the sale price?
- A \($8\)
- B \($40\)
- C \($28\)
- D \($24\)
Check answer and explanation
Answer D: \($24\)
Discount amount \(=0.25\times32=$8\). Sale price \(=32-8=$24\).
CH02-04 lesson
Markups, Discounts, and Sales Tax Learning Activity
A focused Grade 7 learning session for Markups, Discounts, and Sales Tax using visual models, worked examples, strategy guidance, and a short mastery check.
- 15
- minutes
- 6
- lesson parts
- 11
- practice items
Students will build Grade 7 mastery of markups, discounts, and sales tax using models, equations, and test-style reasoning.
Student goal: I can solve problems involving markups, discounts, and sales tax.
Helpful first:
Percent Increase and Decrease
Learn the Idea
Markups, Discounts, and Sales Tax is part of Grade 7 Percents and Financial Literacy. This activity focuses on the central idea students need before they move into independent practice.
Students will build Grade 7 mastery of markups, discounts, and sales tax using models, equations, and test-style reasoning.
See the Math
| What to notice | How to use it |
|---|---|
| Numbers, units, labels, diagrams, or graphs | Identify what each part represents before calculating. |
| The relationship in the problem | Connect the model to an equation, comparison, or explanation. |
Use the figures and worked questions in the practice set below as the visual model for this skill.
Follow a Worked Example
Read the first practice question slowly. Decide what the question is asking, choose a strategy, solve, and then compare your reasoning with the answer explanation.
For Markups, Discounts, and Sales Tax, a strong worked example should show the setup, the calculation or model, and a final answer that matches the context.
Connect It to a Real Situation
Many Grade 7 test questions use real situations. Look for quantities, units, rates, measures, expressions, or data values that connect the math to the story.
After solving, explain what the answer means in the situation, not just the number you calculated.
Avoid Mistakes and Choose a Strategy
- Underline the exact question before solving.
- Label units, variables, or graph axes when they appear.
- Estimate first so unreasonable answers are easier to catch.
- Review missed questions and write the reason for each mistake.
Remember the Key Idea
I can solve problems involving markups, discounts, and sales tax.
Use the warmup, guided question, practice set, and exit questions below to check whether this skill is ready or needs more practice.
Solve before opening the answer
Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.
warmup
2 questionsA pair of shoes costs \($60\). If a store marks up the wholesale cost by \(50\%\), what is the selling price?
- A \($110\)
- B \($40\)
- C \($30\)
- D \($90\)
Check answer and explanation
Answer D: \($90\)
Markup amount \(=0.50\times60=$30\). Selling price \(=60+30=$90\).
guided
1 questionA jacket has a sale price of \($45\) after a \(10\%\) discount. What was the original price?
- A \($49.50\)
- B \($54\)
- C \($40.50\)
- D \($50\)
Check answer and explanation
Answer D: \($50\)
Sale price \(=\) original price \(\times(1-0.10)\). So \(45=\text{original}\times0.90\), giving original \(=45\div0.90=$50\).
practice
5 questionsA retailer sells an item for \($110\) after marking up the cost by \(10\%\). What was the original cost?
- A \($99\)
- B \($95\)
- C \($121\)
- D \($100\)
Check answer and explanation
Answer D: \($100\)
Selling price \(=\) cost \(\times(1+0.10)\). So \(110=\text{cost}\times1.10\), giving cost \(=110\div1.10=$100\).
A toy costs \($20\) at a store. The store adds an \(8\%\) sales tax. What is the final price?
- A \($20.80\)
- B \($28\)
- C \($22\)
- D \($21.60\)
Check answer and explanation
Answer D: \($21.60\)
Tax \(=0.08\times20=$1.60\). Final price \(=20+1.60=$21.60\).
A book is marked down by \(30\%\) from its original price of \($25\). What is the discount amount?
- A \($22.50\)
- B \($17.50\)
- C \($15\)
- D \($7.50\)
Check answer and explanation
Answer D: \($7.50\)
Discount amount \(=0.30\times25=$7.50\).
A retailer buys backpacks for \($40\) each and marks them up by \(75\%\). What is the selling price?
- A \($60\)
- B \($105\)
- C \($115\)
- D \($70\)
Check answer and explanation
Answer D: \($70\)
Markup \(=0.75\times40=$30\). Selling price \(=40+30=$70\).
A video game originally costs \($50\). After a \(20\%\) discount, a customer buys it. If the sales tax is \(6\%\), what is the final amount paid?
- A \($40.00\)
- B \($47.00\)
- C \($37.60\)
- D \($42.40\)
Check answer and explanation
Answer D: \($42.40\)
After discount: \(50-0.20(50)=$40\). Tax on \($40\): \(0.06(40)=$2.40\). Final: \(40+2.40=$42.40\).
exit
3 questionsA dress is on sale for \($36\) after a \(40\%\) markdown. What was the original selling price?
- A \($56.40\)
- B \($86.40\)
- C \($50\)
- D \($60\)
Check answer and explanation
Answer D: \($60\)
Sale price \(=\) original \(\times0.60\). So \(36=\text{original}\times0.60\), giving original \(=36\div0.60=$60\).
A coffee shop buys coffee beans for \($8\) per pound and marks them up by \($4\) per pound. What is the percent markup?
- A \(75\%\)
- B \(100\%\)
- C \(25\%\)
- D \(50\%\)
Check answer and explanation
Answer D: \(50\%\)
Markup percent \(=\frac{\text{markup}}{\text{cost}}\times100=\frac{4}{8}\times100=50\%\).
A phone case costs \($15\) and is discounted by \($3\). What is the percent discount?
- A \(10\%\)
- B \(25\%\)
- C \(15\%\)
- D \(20\%\)
Check answer and explanation
Answer D: \(20\%\)
Discount percent \(=\frac{3}{15}\times100=20\%\).
